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Traveling wave solutions to the two-dimensional Korteweg-de Vries equation. (English) Zbl 0634.35066

Periodic wave solutions for the two-dimensional Korteweg-de Vries and - modified Korteweg-de Vries equations are obtained. They are shown to be representable as infinite sums of solitons.
Reviewer: Yunkai Chen

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35B10 Periodic solutions to PDEs
35C05 Solutions to PDEs in closed form
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References:

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